Search a number
-
+
3729139141 = 7133113110091
BaseRepresentation
bin1101111001000110…
…0010010111000101
3100121220000220012111
43132101202113011
530114124423031
61414012221021
7161261105530
oct33621422705
910556026174
103729139141
111644002482
12880a6a771
13475786b10
142753a7a17
1516c5c01b1
hexde4625c5

3729139141 has 32 divisors (see below), whose sum is σ = 4774404096. Its totient is φ = 2833272000.

The previous prime is 3729139097. The next prime is 3729139157. The reversal of 3729139141 is 1419319273.

3729139141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3729139141 - 213 = 3729130949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3729139094 and 3729139103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3729139171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364506 + ... + 374596.

It is an arithmetic number, because the mean of its divisors is an integer number (149200128).

Almost surely, 23729139141 is an apocalyptic number.

3729139141 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3729139141 is a deficient number, since it is larger than the sum of its proper divisors (1045264955).

3729139141 is a wasteful number, since it uses less digits than its factorization.

3729139141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10273.

The product of its digits is 40824, while the sum is 40.

The square root of 3729139141 is about 61066.6778284196. The cubic root of 3729139141 is about 1550.7300260075.

The spelling of 3729139141 in words is "three billion, seven hundred twenty-nine million, one hundred thirty-nine thousand, one hundred forty-one".

Divisors: 1 7 13 31 91 131 217 403 917 1703 2821 4061 10091 11921 28427 52793 70637 131183 312821 369551 918281 1321921 2189747 4066673 9253447 17184973 28466711 40979551 120294811 286856857 532734163 3729139141